论文标题
Marchuk的感染模式:新事态发展
Marchuk's models of infection diseases: new developments
论文作者
论文摘要
我们考虑了G.I.建立的感染疾病的数学模型。马尔库克(Marchuk)在他著名的有关免疫学的书中。这些模型是普通延迟微分方程系统的形式。我们在描述抗体浓度速率动力学的一个方程之一中添加了分布式控制。在这里,分布式控制自然会在这里看起来很自然,因为这种浓度的变化取决于时间间隔的电流和正常抗体浓度差的相应平均值,而不是仅在点t处的差异。
We consider mathematical models of infection diseases built by G.I. Marchuk in his well known book on immunology. These models are in the form of systems of ordinary delay differential equations. We add a distributed control in one of the equations describing the dynamics of the antibody concentration rate. Distributed control looks here naturally since the change of this concentration rather depends on the corresponding average value of the difference of the current and normal antibody concentrations on the time interval than on their difference at the point t only.